Yes, you can have breast reduction surgery even without insurance. Health insurance companies require a specific amount of breast tissue based on your body surface area. This is somewhat controversial because your breasts don't always correspond to your body surface area.
If you don't have insurance or don't qualify within your plan, you can still have the surgery and gain considerable physical and aesthetic improvement. You can choose to have the breast reduction done by being a self-pay patient. You will be responsible to pay for the surgeon’s fees, the operating room, general anesthesia, prescription medications, and lab work. As a self-pay patient, the hospital and anesthesia fees will be at a discounted rate, which will be less expensive than what is normally charged to the insurance companies.